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The best way is to find the centre of surface of planar area. Then the force due to hydrostatic pressure will be:

F = d h0 g S,

where:

F is force,

d is density of fluid,

h0 is depth at the centre of surface,

S is surface of the area.

It works because when we consider the centre of surface, there will exactly as much surface with lesser pressure effecting on it as there is surface below the centre point where the pressure is higher.

The net force vector will be perpendicular to the area at the centre of surface point.

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15y ago

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